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Finding the Third Proportional to 253,808,440 and 342,447,176

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Solution

The third proportional to 253,808,440 and 342,447,176 is: 462,041,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,440 : 342,447,176 = 342,447,176 : x
  2. Step 2: Convert to fraction form
    253,808,440/342,447,176 = 342,447,176/x
  3. Step 3: Cross multiply
    253,808,440x = 342,447,176 × 342,447,176
  4. Step 4: Simplify right side
    253,808,440x = 117,270,068,350,374,976
  5. Step 5: Solve for x
    x = 117,270,068,350,374,976/253,808,440
  6. Step 6: Final answer
    x = 462,041,641.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.